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Sinopsis
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem.
The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
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Acerca del autor
Jürgen Voigt is Professor at the Institute of Analysis of the Technische Universität in Dresden, Germany.
De la contraportada
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(O) and the space of distributions, and the Krein-Milman theorem.
The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9783030329440_new
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A Course on Topological Vector Spaces
Publicado por
Springer International Publishing Mrz 2020, 2020
ISBN 10: 3030329445
ISBN 13: 9783030329440
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak\*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functionsD( ) and the space of distributions, and the Krein-Milman theorem.The book adopts an 'economic' approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians. 164 pp. Englisch. Nº de ref. del artículo: 9783030329440
Cantidad disponible: 2 disponibles
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A Course on Topological Vector Spaces
Publicado por
Springer International Publishing, Springer International Publishing, 2020
ISBN 10: 3030329445
ISBN 13: 9783030329440
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak\*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functionsD( ) and the space of distributions, and the Krein-Milman theorem.The book adopts an 'economic' approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians. Nº de ref. del artículo: 9783030329440
Cantidad disponible: 1 disponibles
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Librería: California Books, Miami, FL, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: I-9783030329440
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A Course on Topological Vector Spaces
Publicado por
Springer International Publishing, 2020
ISBN 10: 3030329445
ISBN 13: 9783030329440
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Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes a streamlined introduction to the duality theory of locally convex spaces, culminating in the Mackey-Arens theoremTreats various important topics concerning the weak topology of Banach spacesDiscuss. Nº de ref. del artículo: 448679194
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A Course on Topological Vector Spaces
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PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783030329440
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Librería: Best Price, Torrance, CA, Estados Unidos de America
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Condición: New. SUPER FAST SHIPPING. Nº de ref. del artículo: 9783030329440
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A Course on Topological Vector Spaces
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 155 pages. 9.00x6.25x0.50 inches. In Stock. Nº de ref. del artículo: x-3030329445
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A Course on Topological Vector Spaces
Publicado por
Springer International Publishing, Springer International Publishing Mär 2020, 2020
ISBN 10: 3030329445
ISBN 13: 9783030329440
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach¿s theorem on weak\*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein¿s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(¿) and the space of distributions, and the Krein-Milman theorem.The book adopts an ¿economic¿ approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 164 pp. Englisch. Nº de ref. del artículo: 9783030329440
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A Course on Topological Vector Spaces (Compact Textbooks in Mathematics)
Librería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. pp. 163. Nº de ref. del artículo: 378872082
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